Search a number
-
+
31435014 = 23132291069
BaseRepresentation
bin111011111101…
…0100100000110
32012011001201210
41313322210012
531021410024
63041432250
7531123162
oct167724406
965131653
1031435014
1116820656
12a63b686
136688200
144263ca2
152b5e129
hex1dfa906

31435014 has 48 divisors (see below), whose sum is σ = 70491600. Its totient is φ = 9330048.

The previous prime is 31435009. The next prime is 31435031. The reversal of 31435014 is 41053413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28872 + ... + 29940.

It is an arithmetic number, because the mean of its divisors is an integer number (1468575).

Almost surely, 231435014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31435014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35245800).

31435014 is an abundant number, since it is smaller than the sum of its proper divisors (39056586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31435014 is a wasteful number, since it uses less digits than its factorization.

31435014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 31435014 is about 5606.6936780959. The cubic root of 31435014 is about 315.6006478483.

Adding to 31435014 its reverse (41053413), we get a palindrome (72488427).

The spelling of 31435014 in words is "thirty-one million, four hundred thirty-five thousand, fourteen".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 169 174 338 377 507 754 1014 1069 1131 2138 2262 3207 4901 6414 9802 13897 14703 27794 29406 31001 41691 62002 83382 93003 180661 186006 361322 403013 541983 806026 1083966 1209039 2418078 5239169 10478338 15717507 31435014